This video gives more examples of second-order Ordinary Differential Equations and their solutions. We review the characteristic polynomial and how to use initial conditions. We also show that eigenvalues of the matrix system are roots of the characteristic polynomial. Playlist: • Engineering Math: Differential Equations a... Course Website: http://faculty.washington.edu/sbrunto... @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:21 First Example 11:23 Writing as a Matrix System of Equations 16:11 Matlab Code Example: Plotting and Integrating the Solution 23:14 Matlab Code Example: Plotting and Integrating the Solution 25:23 Second Example (Unstable System) 28:33 Third Example